All regulators of flat bundles are torsion

TL;DR

This paper proves the Bloch conjecture, showing that all secondary characteristic classes of flat bundles over complex projective varieties are torsion, except for the first class, confirming a long-standing mathematical hypothesis.

Contribution

It establishes that all secondary characteristic classes of flat bundles are torsion, except the first, over complex projective varieties, confirming the Bloch conjecture.

Findings

All secondary characteristic classes are torsion.

The first characteristic class is not torsion.

Confirms the Bloch conjecture.

Abstract

I prove the Bloch conjecture:all secondary characteristic classes of flat bundles over complex projective varietes are torsion, except the first.